Pith Number

pith:QBIDAL4P

pith:2009:QBIDAL4P77KHUSPVY5A6R3F3SB

not attested not anchored not stored refs pending

Essential dimension, spinor groups and quadratic forms

Angelo Vistoli, Patrick Brosnan, Zinovy Reichstein

arxiv:0907.0922 v1 · 2009-07-06 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QBIDAL4P77KHUSPVY5A6R3F3SB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:50:24.216509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8050302f8fffd47a49f5c741e8ecbb90468fad02b5b5b632a3bd535f851f1101

Aliases

arxiv: 0907.0922 · arxiv_version: 0907.0922v1 · doi: 10.48550/arxiv.0907.0922 · pith_short_12: QBIDAL4P77KH · pith_short_16: QBIDAL4P77KHUSPV · pith_short_8: QBIDAL4P

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QBIDAL4P77KHUSPVY5A6R3F3SB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8050302f8fffd47a49f5c741e8ecbb90468fad02b5b5b632a3bd535f851f1101

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cb81d764ae53b43c77565bf12935439f5c43305968c4cf910e580f14a812c76",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-07-06T06:53:26Z",
    "title_canon_sha256": "83f0f2aaef8cf8a7fbd7299eb2053e04f27559937b4db163e9d34470731a3929"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0922",
    "kind": "arxiv",
    "version": 1
  }
}